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arXiv · 2606.01409

The G\"odel Universe as a Superconductor

Daniel Flores-Alfonso·Cesar S. Lopez-Monsalvo·Alberto Rubio-Ponce
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Abstract

Material science and engineering have benefited from the use of geometric and topological tools. A material medium can mimic effective gravitational fields while spacetime metrics serve as geometric models of physical media. Although analog models of optical, acoustic, and viscous media in curved spacetimes are well established, none have yet captured the hallmark constitutive properties of superconductors. In this work we show that the G\"odel universe - an exact solution to Einstein's field equations - serves as the gravitational analog of a superconducting medium in its Meissner state.

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Daniel Flores-Alfonso, Cesar S. Lopez-Monsalvo, Alberto Rubio-Ponce. 2026-05-31. The G\"odel Universe as a Superconductor. https://doi.org/10.1103/gw8y-zrt4

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